085b9cee7bcf94c3bc107ec4f8eb1ed962d2a2dc
[scilab.git] / scilab / modules / special_functions / help / pt_BR / delip.xml
1 <?xml version="1.0" encoding="UTF-8"?>
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16 <!--  module: signal_processing  -->
17 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="delip" xml:lang="pt">
18     <refnamediv>
19         <refname>delip</refname>
20         <refpurpose>Integral elíptica</refpurpose>
21     </refnamediv>
22     <refsynopsisdiv>
23         <title>Seqüência de Chamamento</title>
24         <synopsis>[r]=delip(x,ck)</synopsis>
25     </refsynopsisdiv>
26     <refsection>
27         <title>Parâmetros</title>
28         <variablelist>
29             <varlistentry>
30                 <term>x</term>
31                 <listitem>
32                     <para>vetor real com elementos não-negativos</para>
33                 </listitem>
34             </varlistentry>
35             <varlistentry>
36                 <term>ck</term>
37                 <listitem>
38                     <para>número real entre -1 e 1 </para>
39                 </listitem>
40             </varlistentry>
41             <varlistentry>
42                 <term>r</term>
43                 <listitem>
44                     <para>número real ou complexo ou vetor de reais ou complexos com
45                         mesmo tamanho que <literal>x</literal>
46                     </para>
47                 </listitem>
48             </varlistentry>
49         </variablelist>
50     </refsection>
51     <refsection>
52         <title>Descrição</title>
53         <para>A integral elíptica de primeira espécie com parâmetro
54             <literal>ck</literal> definido como segue:
55         </para>
56         <para>
57             <inlinemediaobject>
58                 <imageobject>
59                     <imagedata>
60                         <mml:math>
61                             <mml:semantics>
62                                 <mml:mrow>
63                                     <mml:munderover>
64                                         <mml:mo mml:stretchy="false">∫</mml:mo>
65                                         <mml:mn>0</mml:mn>
66                                         <mml:mi>x</mml:mi>
67                                     </mml:munderover>
68                                     <mml:mfrac>
69                                         <mml:mi mml:fontstyle="italic">dt</mml:mi>
70                                         <mml:msqrt>
71                                             <mml:mrow>
72                                                 <mml:mrow>
73                                                     <mml:mo mml:stretchy="false">(</mml:mo>
74                                                     <mml:mrow>
75                                                         <mml:mn>1</mml:mn>
76                                                         <mml:mo mml:stretchy="false">−</mml:mo>
77                                                         <mml:msup>
78                                                             <mml:mi>t</mml:mi>
79                                                             <mml:mn>2</mml:mn>
80                                                         </mml:msup>
81                                                     </mml:mrow>
82                                                     <mml:mo mml:stretchy="false">)</mml:mo>
83                                                 </mml:mrow>
84                                                 <mml:mrow>
85                                                     <mml:mo mml:stretchy="false">(</mml:mo>
86                                                     <mml:mrow>
87                                                         <mml:mrow>
88                                                             <mml:mn>1</mml:mn>
89                                                             <mml:mo mml:stretchy="false">−</mml:mo>
90                                                             <mml:msubsup>
91                                                                 <mml:mi>c</mml:mi>
92                                                                 <mml:mi>k</mml:mi>
93                                                                 <mml:mn>2</mml:mn>
94                                                             </mml:msubsup>
95                                                         </mml:mrow>
96                                                         <mml:msup>
97                                                             <mml:mi>t</mml:mi>
98                                                             <mml:mn>2</mml:mn>
99                                                         </mml:msup>
100                                                     </mml:mrow>
101                                                     <mml:mo mml:stretchy="false">)</mml:mo>
102                                                 </mml:mrow>
103                                             </mml:mrow>
104                                         </mml:msqrt>
105                                     </mml:mfrac>
106                                 </mml:mrow>
107                                 <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
108                                     (1-t^2)(1-c_k^2 t^2)}}
109                                 </mml:annotation>
110                             </mml:semantics>
111                         </mml:math>
112                     </imagedata>
113                 </imageobject>
114             </inlinemediaobject>
115         </para>
116         <para>
117             Onde <literal>x</literal> é real e positivo e <literal>ck</literal>
118             está em <literal>[-1 1]</literal>.
119         </para>
120         <para>Se x é menor do que ou igual a 1, o resultado é real.</para>
121         <para>
122             Quando chamado com <literal>x</literal>, um vetor real
123             <literal>r</literal> é avaliado para cada entrada de
124             <literal>x</literal>.
125         </para>
126     </refsection>
127     <refsection>
128         <title>Exemplos</title>
129         <programlisting role="example"><![CDATA[
130 ck=0.5;
131 delip([1,2],ck)
132 deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
133 intg(0,1,f)    //OK, desde que a solução seja real!
134  ]]></programlisting>
135     </refsection>
136     <refsection>
137         <title>Ver Também</title>
138         <simplelist type="inline">
139             <member>
140                 <link linkend="amell">amell</link>
141             </member>
142             <member>
143                 <link linkend="ellipj">ellipj</link>
144             </member>
145             <member>
146                 <link linkend="percentsn">%sn</link>
147             </member>
148         </simplelist>
149     </refsection>
150 </refentry>